Search a number
-
+
122000314349 is a prime number
BaseRepresentation
bin111000110011111001…
…0010000111111101101
3102122220102010002221002
41301213302100333231
53444324040024344
6132013550050045
711546165363444
oct1614762207755
9378812102832
10122000314349
1147815aa6981
121b7897a9925
13b673741824
145c94c83d5b
1532908cb44e
hex1c67c90fed

122000314349 has 2 divisors, whose sum is σ = 122000314350. Its totient is φ = 122000314348.

The previous prime is 122000314301. The next prime is 122000314391. The reversal of 122000314349 is 943413000221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85911713449 + 36088600900 = 293107^2 + 189970^2 .

It is a cyclic number.

It is not a de Polignac number, because 122000314349 - 224 = 121983537133 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122000317349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61000157174 + 61000157175.

It is an arithmetic number, because the mean of its divisors is an integer number (61000157175).

Almost surely, 2122000314349 is an apocalyptic number.

It is an amenable number.

122000314349 is a deficient number, since it is larger than the sum of its proper divisors (1).

122000314349 is an equidigital number, since it uses as much as digits as its factorization.

122000314349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 122000314349 in words is "one hundred twenty-two billion, three hundred fourteen thousand, three hundred forty-nine".